31 citations · 60 across the 4 of their papers we have counts for
4 papers
Dynamics near the p : -q Resonance
Sven Schmidt, Holger R. Dullin
We study the dynamics near the truncated p : +/- q resonant Hamiltonian equilibrium for p, q coprime. The critical values of the momentum map of the Liouville integrable system are…
A Poincaré section for the general heavy rigid body
Sven Schmidt, Holger R. Dullin, Peter H. Richter
A general recipe is developed for the study of rigid body dynamics in terms of Poincaré surfaces of section. A section condition is chosen which captures every trajectory on a give…
The 1:+2 / 1:-2 resonance
R. H. Cushman, Holger R. Dullin, Heinz Hanßmann +1
On the linear level elliptic equilibria of Hamiltonian systems are mere superpositions of harmonic oscillators. Non-linear terms can produce instability, if the ratio of frequencie…
Extended phase diagram of the Lorenz model
Holger R. Dullin, Sven Schmidt, Peter H. Richter +1
The parameter dependence of the various attractive solutions of the three variable nonlinear Lorenz model equations for thermal convection in Rayleigh-Bénard flow is studied. Its b…